3x^3-ax^2+6x-a is divided by x-a?
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Step-by-step explanation:
Here, p(x)=x 3 +ax 2 +6x−a, and the zero of x−a is a
So, p(a)=a 3 +a×a 2 +6×a−a =2a 3 +5a
So, by the Remainder Theorem, 2a +5a is the remainder when x 3 +ax 2 +6x−a is divided by x−a.
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